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Multistrain edge‐based compartmental model on networks
Author(s) -
Lv JianPing,
Jin Zhen
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5451
Subject(s) - ordinary differential equation , mathematics , competitive exclusion , basic reproduction number , function (biology) , enhanced data rates for gsm evolution , reproduction , mathematical optimization , differential equation , computer science , mathematical analysis , artificial intelligence , biology , ecology , competition (biology) , population , demography , evolutionary biology , sociology
Multistrain diseases, which are infected through individual contacts, pose severe public health threat nowadays. In this paper, we build competitive and mutative two‐strain edge‐based compartmental models using probability generation function (PGF) and pair approximation (PA). Both of them are ordinary differential equations. Their basic reproduction numbers and final size formulas are explicitly derived. We show that the formula gives a unique positive final epidemic size when the reproduction number is larger than unity. We further consider competitive and mutative multistrain diseases spreading models and compute their basic reproduction numbers. We perform numerical simulations that show some dynamical properties of the competitive and mutative two‐strain models.